4(x-3)-6=-2(x-5)

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Solution for 4(x-3)-6=-2(x-5) equation:


Simplifying
4(x + -3) + -6 = -2(x + -5)

Reorder the terms:
4(-3 + x) + -6 = -2(x + -5)
(-3 * 4 + x * 4) + -6 = -2(x + -5)
(-12 + 4x) + -6 = -2(x + -5)

Reorder the terms:
-12 + -6 + 4x = -2(x + -5)

Combine like terms: -12 + -6 = -18
-18 + 4x = -2(x + -5)

Reorder the terms:
-18 + 4x = -2(-5 + x)
-18 + 4x = (-5 * -2 + x * -2)
-18 + 4x = (10 + -2x)

Solving
-18 + 4x = 10 + -2x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '2x' to each side of the equation.
-18 + 4x + 2x = 10 + -2x + 2x

Combine like terms: 4x + 2x = 6x
-18 + 6x = 10 + -2x + 2x

Combine like terms: -2x + 2x = 0
-18 + 6x = 10 + 0
-18 + 6x = 10

Add '18' to each side of the equation.
-18 + 18 + 6x = 10 + 18

Combine like terms: -18 + 18 = 0
0 + 6x = 10 + 18
6x = 10 + 18

Combine like terms: 10 + 18 = 28
6x = 28

Divide each side by '6'.
x = 4.666666667

Simplifying
x = 4.666666667

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